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Finding the Fourth Proportional to 17,747.68, 24,493.08 and 10,196.20

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Solution

The fourth proportional to 17,747.68, 24,493.08 and 10,196.20 is: 14,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.68 : 24,493.08 = 10,196.20 : x
  2. Step 2: Convert to fraction form
    17,747.68/24,493.08 = 10,196.20/x
  3. Step 3: Cross multiply
    17,747.68x = 24,493.08 × 10,196.20
  4. Step 4: Simplify right side
    17,747.68x = 249,736,342.30
  5. Step 5: Solve for x
    x = 249,736,342.30/17,747.68
  6. Step 6: Final answer
    x = 14,071.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.